What is the Greatest Common Factor of 58409 and 58422?

Greatest common factor (GCF) of 58409 and 58422 is 13.

GCF(58409,58422) = 13

We will now calculate the prime factors of 58409 and 58422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58409 and 58422.

How to find the GCF of 58409 and 58422?

We will first find the prime factorization of 58409 and 58422. After we will calculate the factors of 58409 and 58422 and find the biggest common factor number .

Step-1: Prime Factorization of 58409

Prime factors of 58409 are 13, 4493. Prime factorization of 58409 in exponential form is:

58409 = 13¹ × 4493¹

Step-2: Prime Factorization of 58422

Prime factors of 58422 are 2, 3, 7, 13, 107. Prime factorization of 58422 in exponential form is:

58422 = 2¹ × 3¹ × 7¹ × 13¹ × 107¹

Step-3: Factors of 58409

List of positive integer factors of 58409 that divides 58409 without a remainder.

1, 13, 4493

Step-4: Factors of 58422

List of positive integer factors of 58422 that divides 58409 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 107, 182, 214, 273, 321, 546, 642, 749, 1391, 1498, 2247, 2782, 4173, 4494, 8346, 9737, 19474, 29211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58409 and 58422. The biggest common factor number is the GCF number.
So the greatest common factor 58409 and 58422 is 13.

Also check out the Least Common Multiple of 58409 and 58422